Question

A composite figure is shown.
Which of the following represents the total area of the figure?

Answer 1

16.425 in²

Explanation:

Surface area of composite figure:

Area of upper triangle:

b = 2.5 in ; h = 2.3 in

`\sf \boxed{\bf Area \ of \ triangle = (1)/(2)bh}`

`\sf =(1)/(2)*2.5 * 2.3\\\\ =(5.75)/(2)\\\\=2.875 \ in^2`

Area of bottom triangle:

h = 5.2 - 2.3

= 2.9 in

`\sf Area \ of \ bottom \ triangle = (1)/(2)*3*2.9`

= 4.35 in²

Area of rectangle:

Area of rectangle = l * w

= 4 * 2.3

= 9.2 in²

Area of composite figure = area of upper triangle + area of bottom triangle + area of rectangle

= 2.875 + 4.35 + 9.2

= 16.425 in²